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1321120320221 = 131721993974451
BaseRepresentation
bin10011001110011000111…
…010000100101011011101
311200022001010221212220102
4103032120322010223131
5133121123300221341
62450525253230445
7164306410303112
oct23163072045335
94608033855812
101321120320221
1146a313a85399
12194060632425
1397772918b40
1447d2a57c909
15245731dcc9b
hex13398e84add

1321120320221 has 48 divisors (see below), whose sum is σ = 1523121801600. Its totient is φ = 1138860518400.

The previous prime is 1321120320193. The next prime is 1321120320241. The reversal of 1321120320221 is 1220230211231.

It is a de Polignac number, because none of the positive numbers 2k-1321120320221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1321120320193 and 1321120320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321120320241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296812046 + ... + 296816496.

It is an arithmetic number, because the mean of its divisors is an integer number (31731704200).

Almost surely, 21321120320221 is an apocalyptic number.

It is an amenable number.

1321120320221 is a deficient number, since it is larger than the sum of its proper divisors (202001481379).

1321120320221 is a wasteful number, since it uses less digits than its factorization.

1321120320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1321120320221 its reverse (1220230211231), we get a palindrome (2541350531452).

The spelling of 1321120320221 in words is "one trillion, three hundred twenty-one billion, one hundred twenty million, three hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 17 199 221 289 397 2587 3383 3757 4451 5161 6749 43979 57511 57863 75667 79003 87737 114733 747643 885749 983671 1027039 1286339 1343051 1491529 1767047 11514737 15057733 16722407 17459663 22831867 22971611 30039799 195750529 255981461 296814271 351642353 390517387 510676583 3327758993 4571350589 5977920001 6638795579 77712960013 101624640017 1321120320221